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A117980 Legendre-binomial transform of (-1)^n for p=3. 0
1, 0, 3, 0, 0, 0, 3, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 9, 0, 0, 0, 9, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 9, 0, 0, 0, 9, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 27, 0, 0, 0, 27, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n)=a(3n)=a(3n+2)/3; a(3n+2)=0.

LINKS

Table of n, a(n) for n=0..98.

FORMULA

a(n)=sum{k=0..n, L(C(n,k)/3)*(-1)^k} where L(j/p) is the Legendre symbol of j and p.

CROSSREFS

Sequence in context: A219551 A200221 A158678 * A065032 A007514 A151671

Adjacent sequences:  A117977 A117978 A117979 * A117981 A117982 A117983

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Apr 06 2006

STATUS

approved

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Last modified February 20 15:02 EST 2018. Contains 299380 sequences. (Running on oeis4.)